{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "3ffe9aa72c8e8e86",
   "metadata": {},
   "source": [
    "\n",
    "# 正态分布的概率密度函数\n",
    "\n",
    "正态分布的概率密度函数为：\n",
    "$$f(x; \\mu, \\sigma) = \\frac{1}{\\sigma \\sqrt{2\\pi}} e^{-\\frac{(x - \\mu)^2}{2\\sigma^2}}$$\n",
    "\n",
    "其中：\n",
    "- \\( \\mu \\) 是均值，\n",
    "- \\( \\sigma \\) 是标准差，\n",
    "- \\( e \\) 是自然对数的底数（约等于 2.71828），\n",
    "- \\( \\pi \\) 是圆周率（约等于 3.14159）。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "9f9ef0cf7c8564b3",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-11-05T01:45:17.997614Z",
     "start_time": "2024-11-05T01:45:17.836699Z"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Matplotlib is building the font cache; this may take a moment.\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "def normal(x, mu, sigma):\n",
    "    p = 1 / np.sqrt(2 * np.pi) * sigma\n",
    "    return p * np.exp(-(x - mu)**2 / (2 * sigma**2))\n",
    "\n",
    "# 随机产生x变量\n",
    "x = np.arange(-7, 7, 0.01).reshape(-1,1)\n",
    "\n",
    "# 均值和标准差对\n",
    "plt.figure(figsize=(5,5)) # 图表大小\n",
    "plt.plot(x,normal(x, 0, 1), label=\"menu 0 std 1\")\n",
    "plt.plot(x,normal(x, 0, 2), label=\"menu 0 std 2\")\n",
    "plt.plot(x,normal(x,3, 1), label=\"menu 3 std 1\")\n",
    "plt.xlabel(\"x\") # X 轴配置\n",
    "plt.ylabel(\"p(x)\") # y 轴配置\n",
    "plt.grid(True) # 显示网格\n",
    "plt.legend() # 图例配置\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "1ccbb5b5f24aaa47",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
